A minimum entropy principle of high order schemes for gas dynamics equations

被引：0
作者：
Xiangxiong Zhang
Chi-Wang Shu
机构：
[1] Brown University,Division of Applied Mathematics
[2] MIT,Department of Mathematics
来源：
Numerische Mathematik | 2012年 / 121卷
关键词：
65M60; 76N15;
D O I：
暂无
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学科分类号：
摘要：
The entropy solutions of the compressible Euler equations satisfy a minimum principle for the specific entropy (Tadmor in Appl Numer Math 2:211–219, 1986). First order schemes such as Godunov-type and Lax-Friedrichs schemes and the second order kinetic schemes (Khobalatte and Perthame in Math Comput 62:119–131, 1994) also satisfy a discrete minimum entropy principle. In this paper, we show an extension of the positivity-preserving high order schemes for the compressible Euler equations in Zhang and Shu (J Comput Phys 229:8918–8934, 2010) and Zhang et al. (J Scientific Comput, in press), to enforce the minimum entropy principle for high order finite volume and discontinuous Galerkin (DG) schemes.
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页码：545 / 563
页数：18
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